| 书目名称 | Selected Aspects of Fractional Brownian Motion | | 编辑 | Ivan Nourdin | | 视频video | | | 概述 | Except for very few exception, every result stated in this book is proved in details: the book is then perfectly tailored for self-learning.My guiding thread was to develop only the most aesthetic top | | 丛书名称 | Bocconi & Springer Series | | 图书封面 |  | | 描述 | Fractional Brownian motion (fBm) is a stochastic process which deviates significantly from Brownian motion and semimartingales, and others classically used in probability theory. As a centered Gaussian process, it is characterized by the stationarity of its increments and a medium- or long-memory property which is in sharp contrast with martingales and Markov processes. FBm has become a popular choice for applications where classical processes cannot model these non-trivial properties; for instance long memory, which is also known as persistence, is of fundamental importance for financial data and in internet traffic. The mathematical theory of fBm is currently being developed vigorously by a number of stochastic analysts, in various directions, using complementary and sometimes competing tools. This book is concerned with several aspects of fBm, including the stochastic integration with respect to it, the study of its supremum and its appearance as limit of partial sums involving stationary sequences, to name but a few. The book is addressed to researchers and graduate students in probability and mathematical statistics. With very few exceptions (where precise references are given | | 出版日期 | Book 2012 | | 关键词 | Fractional Brownian motion; Integration; Limit theorems; Malliavin calculus; Maximum of Gaussian process | | 版次 | 1 | | doi | https://doi.org/10.1007/978-88-470-2823-4 | | isbn_softcover | 978-88-470-5849-1 | | isbn_ebook | 978-88-470-2823-4Series ISSN 2039-1471 Series E-ISSN 2039-148X | | issn_series | 2039-1471 | | copyright | Springer-Verlag Italia 2012 |
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发表于 2025-3-21 19:27:24
